Question 21
in the triangle $\triangle ABC$, $M$ is the midpoint on the side $AC$, $D$ it's a point on the side $BC$, such that $AD$ It's the bisector of the angle $B\widehat{A}C$, e $P$ is the point of intersection of $AD$ e $BM$. knowing that $AB = 10\ \mathrm{cm}$, $AC = 30\ \mathrm{cm}$ and the area of the triangle $\triangle ABC$ measure $100\ \mathrm{cm}^2$, calculate the area of the triangle $\triangle ABP$.